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28364444446382 = 21119301922476821
BaseRepresentation
bin1100111001100000111001…
…01000101010111010101110
310201102121120220101000021122
412130300130220222322232
512204210340234241012
6140154240151300542
75655156242514032
oct634603450527256
9121377526330248
1028364444446382
119046325480a10
12322127707a752
1312a99a91892b5
14700bbc89a1c2
15342c56ec5e72
hex19cc1ca2aeae

28364444446382 has 32 divisors (see below), whose sum is σ = 48873601756800. Its totient is φ = 12210307696800.

The previous prime is 28364444446369. The next prime is 28364444446399.

28364444446382 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×283644444463824 (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9976469 + ... + 12500352.

It is an arithmetic number, because the mean of its divisors is an integer number (1527300054900).

Almost surely, 228364444446382 is an apocalyptic number.

28364444446382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28364444446382 is a deficient number, since it is larger than the sum of its proper divisors (20509157310418).

28364444446382 is a wasteful number, since it uses less digits than its factorization.

28364444446382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22479872.

The product of its digits is 339738624, while the sum is 62.

The spelling of 28364444446382 in words is "twenty-eight trillion, three hundred sixty-four billion, four hundred forty-four million, four hundred forty-six thousand, three hundred eighty-two".

Divisors: 1 2 11 19 22 38 209 418 3019 6038 33209 57361 66418 114722 630971 1261942 22476821 44953642 247245031 427059599 494490062 854119198 4697655589 9395311178 67857522599 135715045198 746432748589 1289292929381 1492865497178 2578585858762 14182222223191 28364444446382